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Finding the Fourth Proportional to 363,340,646,999.60, 545,010,970,499.40 and 363,340,646,999.60

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Solution

The fourth proportional to 363,340,646,999.60, 545,010,970,499.40 and 363,340,646,999.60 is: 545,010,970,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,340,646,999.60 : 545,010,970,499.40 = 363,340,646,999.60 : x
  2. Step 2: Convert to fraction form
    363,340,646,999.60/545,010,970,499.40 = 363,340,646,999.60/x
  3. Step 3: Cross multiply
    363,340,646,999.60x = 545,010,970,499.40 × 363,340,646,999.60
  4. Step 4: Simplify right side
    363,340,646,999.60x = 198,024,638,643,131,895,513,088
  5. Step 5: Solve for x
    x = 198,024,638,643,131,895,513,088/363,340,646,999.60
  6. Step 6: Final answer
    x = 545,010,970,499.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.